Abook store has received 8 different books, of which 3/8 are novels, 25% are study guides and remaining are textbooks. if all books must be placed on one shelf displaying new items and if books in the same category have to be shelved next to each other, how many different arrangements of books are possible? a. 18b. 36c. 72d. 216e. 432

E.432

Step-by-step explanation:

We are given that

Total number of books=8

Novels=

Study guides=25% of 8=

Textbooks=8-(3+2)=3

We have to find the possible number of  arrangements of books .

Number of ways in which novels can be arranged=3!

Using formula:

Number of ways in which study guides can be arranged=2!=

Number of ways in which textbooks can be arranged=

Number of category of books=3

Therefore, number of ways in which 3 types of books can be arranged=3!=6

Total possible number of arrangement of books=

Option E is true

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2